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2018 AMC 8 Question 3

AMC8 · 2018 AMC 8

Question 3

Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: Arn first, then Bob, and so forth. When the number contains a $7$ as a digit (such as $47$) or is a multiple of $7$ that person leaves the circle and the counting continues. Who is the last one present in the circle?
  1. $ \text{Arn} $
  2. $ \text{Bob} $
  3. $ \text{Cyd} $
  4. $ \text{Dan} $
  5. $ \text{Eve} $